Finding the Third Proportional to 71,367 and 109,739

Step by Step Solution

1. Step 1: Write the proportion equation
   71,367 : 109,739 = 109,739 : x
2. Step 2: Convert to fraction form
   71,367/109,739 = 109,739/x
3. Step 3: Cross multiply
   71,367x = 109,739 × 109,739
4. Step 4: Simplify right side
   71,367x = 12,042,648,121
5. Step 5: Solve for x
   x = 12,042,648,121/71,367
6. Step 6: Final answer
   x = 168,742.53